2596864721761 has 8 divisors (see below), whose sum is σ = 2733611428800. Its totient is φ = 2460124976400.

The previous prime is 2596864721749. The next prime is 2596864721779. The reversal of 2596864721761 is 1671274686952.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2596864721761 - 2⁹ = 2596864721249 is a prime.

It is a super-2 number, since 2×2596864721761² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2596864721693 and 2596864721702.

It is not an unprimeable number, because it can be changed into a prime (2596864727761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 965890 + ... + 2475211.

It is an arithmetic number, because the mean of its divisors is an integer number (341701428600).

Almost surely, 2^{2596864721761} is an apocalyptic number.

It is an amenable number.

2596864721761 is a deficient number, since it is larger than the sum of its proper divisors (136746707039).

2596864721761 is a wasteful number, since it uses less digits than its factorization.

2596864721761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480839.

The product of its digits is 60963840, while the sum is 64.

The spelling of 2596864721761 in words is "two trillion, five hundred ninety-six billion, eight hundred sixty-four million, seven hundred twenty-one thousand, seven hundred sixty-one".